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Finding the Fourth Proportional to 10,990.50, 16,471.52 and 7,040.23

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Solution

The fourth proportional to 10,990.50, 16,471.52 and 7,040.23 is: 10,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.50 : 16,471.52 = 7,040.23 : x
  2. Step 2: Convert to fraction form
    10,990.50/16,471.52 = 7,040.23/x
  3. Step 3: Cross multiply
    10,990.50x = 16,471.52 × 7,040.23
  4. Step 4: Simplify right side
    10,990.50x = 115,963,239.27
  5. Step 5: Solve for x
    x = 115,963,239.27/10,990.50
  6. Step 6: Final answer
    x = 10,551.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.